Research Catalog

Title

Ideas and methods of supersymmetry and supergravity, or, A walk through superspace / Ioseph L. Buchbinder and Sergei M. Kuzenko.

Author

Buchbinder, I. L.

Publication

Bristol [U.K.] ; Philadelphia : Institute of Physics Pub., [1995], ©1995.

Items in the Library & Off-site

Holdings

Details

Additional Authors

Kuzenko, Sergei M., 1962-

Description

xix, 640 pages; 25 cm

Subjects

• Supersymmetry
• Supergravity
• Quantum field theory

Bibliography (note)

• Includes bibliographical references (p. 628-630) and index.

Contents

• 1. Mathematical Background. 1.1. The Poincare group, the Lorentz group. 1.2. Finite-dimensional representations of Spin(3, 1). 1.3. The Lorentz algebra. 1.4. Two-component and four-component spinors. 1.5. Representations of the Poincare group. 1.6. Elements of differential geometry and gravity. 1.7. The conformal group. 1.8. The mass-shell field representation. 1.9. Elements of algebra with supernumbers. 1.10. Elements of analysis with supernumbers. 1.11. The supergroup of general coordinate transformations on R[superscript p/q] -- 2. Supersymmetry and Superspace -- 2.0. Introduction: from R[superscript p/q] to supersymmetry. 2.1. Superalgebras, Grassmann shells and super Lie groups. 2.2. The Poincare superalgebra. 2.3. Unitary representation of the Poincare superalgebra. 2.4. Real superspace R[superscript 4/4] and superfields. 2.5. Complex superspace C[superscript 4/2], chiral superfields and covariant derivatives. 2.6. The on-shell massive superfield representations.
• 2.7. The on-shell massless superfield representations. 2.8. From superfields to component fields. 2.9. The superconformal group -- 3. Field Theory in Superspace. 3.1. Supersymmetric field theory. 3.2. Wess-Zumino model. 3.3. Supersymmetric nonlinear sigma-models. 3.4. Vector multiplet models. 3.5. Supersymmetric Yang-Mills theories. 3.6. Geometric approach to super Yang Mills theories. 3.7. Classically equivalent theories -- 4. Quantized Superfields. 4.1. Picture-change operators. 4.2. Equivalence of component field and superfield perturbation theories. 4.3. Effective action (super) functional. 4.4. The Wess-Zumino model: perturbative analysis. 4.5. Note about gauge theories. 4.6. Feynman rules for super Yang-Mills theories. 4.7. Renormalization. 4.8. Examples of counterterm calculations: an alternative technique. 4.9. Superfield effective potential -- 5. Superspace Geometry of Supergravity. 5.1. Gauge group of supergravity and supergravity fields. 5.2. Superspace differential geometry.
• 5.3. Supergeometry with conformal supergravity constraints. 5.4. Prepotentials. 5.5. Einstein supergravity. 5.6. Prepotential deformations. 5.7. Supercurrent and supertrace. 5.8. Supergravity in components -- 6. Dynamics in Supergravity. 6.1. Pure supergravity dynamics. 6.2. Linearized supergravity. 6.3. Supergravity-matter dynamical equations. 6.4. (Conformal) Killing supervectors. Superconformal models. 6.5. Conformally flat superspaces, anti-de Sitter superspace. 6.6. Non-minimal supergravity. 6.7. New minimal supergravity. 6.8. Matter coupling in non-minimal and new minimal supergravities. 6.9. Free massless higher superspin theories -- 7. Effective Action in Curved Superspace. 7.1. The Schwinger-De Witt technique. 7.2. Proper-time representation for covariantly chiral scalar superpropagator. 7.3. Proper-time representation for scalar superpropagators. 7.4. Super Weyl anomaly. 7.5. Quantum equivalence in superspace.

ISBN

0750302585

LCCN

94038731

OCLC

• 31290953
• ocm31290953

Owning Institutions

Columbia University Libraries